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Introduction: Contexts and Challenges for Quantum Mechanics

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Quantum Mechanics at the Crossroads

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References

  1. See, for example, the following: Paul Forman, “Weimar Culture, Causality and Quantum Theory, 1918–1927: Adaptation by German Physicists and Mathematicians to a Hostile Intellectual Environment,” Historical Studies in the Physical Sciences 3, 1–117 (1971); Arthur I. Miller, Einstein, Picasso: space, time and the beauty that causes havoc (Basic Books, New York c2001); Mara Beller, Quantum Dialogue: The Making of a Revolution (University of Chicago Press, Chicago 1999)

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  2. See especially Thomas S. Kuhn, Blackbody Theory and the Quantum Discontinuity, 1894–1912. With a New Afterward (University of Chicago Press, Chicago 1987. First pub., Oxford University Press, 1978), and the many reactions to this book in the form of reviews and symposia.

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  3. Useful technical summaries of the early papers of quantum mechanics are given by Max Jammer, The Conceptual Development of Quantum Mechanics (McGraw-Hill, New York 1966). Extracts of the crucial parts of many of these papers are available in English translation in Ian Duck and E.C.G. Sudarshan, 100 Years of Planck’s Quantum (World Scientific, Singapore 2000). For a recent narrative history see Helge Krage, Quantum Generations: A History of Physics in the Twentieth Century (Princeton University Press, Princeton 1999).

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  4. John L. Helibron, “Fin-de-siècle physics,” in C.G. Bernard et al., eds, Science, Technology and Society in the Time of Alfred Nobel (Pergamnon Press, Oxford 1982) pp 51–73

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  5. Walter Moore, Schrödinger: Life and Thought (Cambridge University Press, Cambridge 1989) p 192

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  6. Schrödinger’s papers, which are still wonderful to read today, are available in English translation in E. Schrödinger, Collected Papers on Wave Mechanics (Blackie & Son, London and Glasgow 1928)

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  7. J. von Neumann, Mathematische Grundlagen der Quantenmechanik (1932), trans. by R.T. Bayer, Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton 1955)

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  8. This remark is often attributed to Richard Feynman, but no one has produced any evidence that he actually said it. This characterization of the Copenhagen attitude seems in fact to be due to David Mermin, “Reference Frame: What’s Wrong with this Pillow?” Physics Today bf 42, no. 4, 9–11 (April 1989). Mermin sees the frequent attribution of the remark to Feynman as an example of Robert Merton’s Matthew effect: see David Mermin, “Reference Frame: Could Feynman Have Said This?” Physics Today 57, no. 5, 10–11 (May, 2004).

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  9. E. Schrödinger, “Die gegenwärtige Situation in der Quantenmechanik,” Die Naturwissenschaften 23, 807–812, 824–828, 844–849 (1935). English translation in J.A. Wheeler and W.H. Zurek, eds, Quantum Theory and Measurement (Princeton University Press, Princeton 1983), 152–167. For a helpful introduction to entanglement see Barbara M. Terhal, Michael M. Wolf and Andrew C. Doherty, “Quantum Entanglement: A Modern Perspective,” Physics Today 56, no. 4, 46–52 (April 2003).

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  16. A clear and sympathetic account of Bohm’s theory and its reception is given by James T. Cushing, Quantum Mechanics: Historical Contingency and the Copenhagen Hegemony (University of Chicago Press, Chicago 1994)

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  21. Daniel F. Styer, et al., “Nine formulations of quantum mechanics,” American Journal of Physics 70, 288–297 (2002). Of course, most of these formulations are mathematically equivalent — e.g., Heisenberg’s matrix mechanics and Schrödinger’s wave mechanics. It is no more threatening to have multiple mathematical approaches in quantum mechanics than to have Lagrangian and Hamiltonian formulations of classical mechanics. The baroque efflorescence comes in interpretation.

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Evans, J. (2007). Introduction: Contexts and Challenges for Quantum Mechanics. In: Quantum Mechanics at the Crossroads. The Frontiers Collection. Springer, Berlin, Heidelberg . https://doi.org/10.1007/978-3-540-32665-6_1

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